2.2.2.3 Specific heat capacity equation WS

JavaScript isn't enabled in your browser, so this file can't be opened. Enable and reload.

Email *

Record my email address with my response

The diagram shows a shower that takes in cold water. The water passes through an electric water heater and emerges from the showerhead at a higher temperature.

The power of the heater is 9000W.

The specific heat capacity of water is 4200J/(kg°C). The initial temperature of the cold water is 16°C.

Determine the maximum mass of water that can be heated to a temperature of 35°C in 1.0s in kg.

4 points

An electrical heater is placed on the floor of a room in a house. The heater is switched on.

The heater has a power of 1.5kW. The air in the room has a mass of 65kg. The specific heat capacity of air is 720J/(kg°C).

Calculate the time it takes for this heater to raise the temperature of the air in the room from 8.0°C to 15.0°C in s.

4 points

A solar panel receives energy from the Sun at a rate of 5.0kW.

Thermal energy is transferred from the solar panel to water with an efficiency of 20%.

Cold water of mass 15kg enters the solar panel every hour.

The specific heat capacity of water is 4200J/(kg°C).

Calculate the temperature increase of the water in °C.

4 points

The diagram shows a simplified central heating system viewed from above.

Pipes transport hot water around a house to radiators and back to the boiler. For water, specific heat capacity is equal to 4200J/(kg°C).

The boiler heats water from 16°C to 65°C.

Calculate the energy transferred from the boiler to 75kg of water to raise the temperature of the water in J.

Give your answer in the form 𝑎x10^𝑏 and to two significant figures.

1 point

The diagram shows apparatus used to determine the power output of a heater.

The metal block has a mass of 2.7kg. The metal of the block has a specific heat capacity of 900J/(kg°C).

In 2 min 30s, the temperature of the block increases from 21°C to 39°C.

Calculate the power of the heater in W.

4 points

Water has a specific heat capacity of 4200J/(kg°C) and a boiling point of 100°C.

A mass of 0.30kg of water at its boiling point is poured into a copper container which is initially at 11°C. After a few seconds, the temperature of the container and the water are both 95°C.

Calculate the energy transferred from the water in kJ.

2 points

An electric kettle contains 600g of water at 20°C. The heater in the kettle operates at 240V. The specific heat capacity of water is 4200J/(kg°C).

The current in the heater is 12A.

Calculate the time taken for the temperature of the water to rise to 100°C in s.

4 points

In a laboratory at normal room temperature, 200g of water is poured into a beaker. A thermometer placed in the water has a reading of 22°C.

Small pieces of ice at 0°C are added to the water one by one. The mixture is stirred after each addition until the ice has melted. This process is continued until the temperature recorded by the thermometer is 0°C.

The total mass of ice added to the water is found to be 60g.

The specific heat capacity of water is 4.2J/(g°C).

Calculate the thermal energy lost by the water originally in the beaker in kJ.

2 points

Ice cubes of total mass 70g, and at 0°C, are put into a drink of lemonade of mass 300g.

All the ice melts as 23 500J of thermal energy transfers from the lemonade to the ice. The final temperature of the drink is 0°C.

The thermal energy that causes the ice to melt is transferred from the lemonade as it cools. The loss of this thermal energy causes the temperature of the 300g of the lemonade to fall by 19°C.

Calculate the specific heat capacity of the lemonade in J/(g°C).

2 points

Gas of mass 0.23g is trapped in a cylinder by a piston. The gas is at atmospheric pressure which is 1.0×10⁵Pa. The diagram shows the piston held in position by a catch.

The volume of the trapped gas is 1.9×10 ⁻⁴m³.

An electrical heater is used to increase the temperature of the trapped gas by 550°C.

The specific heat capacity of the gas is 0.72J/(g°C).

Energy is required to increase the temperature of the trapped gas by 550°C.

The power of the heater is 2.4W.

Calculate how long it takes for the heater to supply the energy required in s.

4 points

The diagram shows a plastic cup. The cup contains sand, an electric heater and a thermometer.

The power of the heater is 50W. The mass of the sand in the cup is 550g. The initial temperature of the sand is 20°C. The heater is switched on for 2.0 minutes. The temperature is recorded until the temperature stops increasing. The highest temperature recorded by the thermometer is 33°C.

Energy is supplied by the heater.

Calculate a value for the specific heat capacity of the sand in J/(g°C), using data in the question.

5 points

Small pieces of ice at 0°C are added to 0.35kg of water. The initial temperature of the water is 24.5°C. The temperature of the water decreases to 0°C. The water loses 35 000J of thermal energy as it cools. All of the ice added to the water melts.

Calculate the specific heat capacity of water in J/(kg°C).

2 points

The diagram shows a cold plastic spoon that has just been placed in hot liquid in a cup.

The cup contains 150g of liquid of specific heat capacity 4.2J/(g°C). When the cold spoon is placed into the hot liquid, the temperature of the liquid decreases from 80°C to 56°C.

Calculate the loss of thermal energy from the liquid in kJ.

3 points

The diagram shows a heater in a metal block.

The power of the heater is 370W and it is switched on for 4.0 minutes. The metal block has a specific heat capacity of 420J/(kg°C) and a mass of 5.0kg.

Calculate the increase of temperature of the block in °C. Assume all the thermal energy from the heater is transferred to the block.

4 points

A solar panel is mounted on the roof of a house. The diagram shows a section through part of the
solar panel.

A pump makes water flow through the copper pipes. The water is heated by passing through the solar panel.

During one day, 250kg of water is pumped through the solar panel. The temperature of this water rises from 16°C to 38°C.

The water absorbs 25% of the energy incident on the solar panel. The specific heat capacity of water is 4200J/(kg°C).

Calculate the energy incident on the solar panel during that day in J.

Give your answer in the form 𝑎x10^𝑏 and to two significant figures.

4 points

The diagram shows a metal-worker heating a horseshoe to a high temperature before shaping it.

The metal-worker then cools the horseshoe by dropping it into 8.0kg of water at 18°C. The final temperature of the water is 43°C.

The specific heat capacity of water is 4200J/(kg°C).

Calculate the thermal energy transferred to the water as the horseshoe cools in kJ.

2 points

An electric heater is used to heat a sample of metal, as shown below. There is no thermal energy transferred from the metal to the surroundings during the heating.

The metal has a mass of 200g and is initially at 15°C.

The heater is switched on for 2.0 minutes and then switched off. The maximum temperature reached by the metal is 40°C.

The power of the heater is 20W.

Calculate the specific heat capacity of the metal in J/(g°C).

3 points

The figure shows a cylinder of aluminium heated by an electric heater.

The mass of the cylinder is 800g. The heater delivers 8700J of thermal energy to the cylinder and the temperature of the cylinder increases by 12°C.

Calculate a value for the specific heat capacity of aluminium in J/(g°C).

2 points

The diagram shows apparatus used by a student to measure the specific heat capacity of iron.

The current in the heater is 3.8A and the potential difference (p.d.) across it is 12V. The iron block has a mass of 2.0kg. When the heater is switched on for 10 minutes, the temperature of the block rises from 25°C to 55°C.

Calculate the specific heat capacity of iron in J/(kg°C).

4 points

This is a diagram of a soldering iron. Solder is a mixture of metals used to make a permanent contact between electrical wires.

The heating element raises the temperature of the metal tip. When solder is placed against the tip, the solder melts over the wires to be joined. When the solder cools, it solidifies and the permanent connection is made.

The working temperature of the metal tip is 380°C.

The temperature of the metal tip rises from 20°C to 320°C in the first 10s.

The metal tip is made of copper and has a mass of 2.3g. The specific heat capacity of copper is 0.39J/(g°C).

Calculate the thermal energy (heat) gained by the metal tip in the first 10s in J.

3 points

The diagram shows a kitchen tap that supplies instant boiling water.

Cold water passes over an electric immersion heater inside the tap.

The boiling point of water is 100°C.

The immersion heater is powered by the mains at a voltage of 230V. When the tap is opened, the heater switches on and the current in the heater is 13A.

The specific heat capacity of water is 4200J/(kg°C). The cold water that enters the tap is at 22°C.

Calculate the rate at which water at its boiling point emerges from the tap in kg/s.

Give your answer in the form 𝑎x10^𝑏 and to two significant figures.

5 points

A copy of your responses will be emailed to .

Submit

Clear form

Never submit passwords through Google Forms.

Forms

This content is neither created nor endorsed by Google.