1. when 400 j of heat is added to 5.6 g of olive oil at 23*c, the temperature increases to 87*c. what is the specific heat of the olive oil?

2. a small rock is heated and placed in a foam cup calorimeter containing 20.0 ml of water at 25.0*c. the water reaches a maximum temperature of 27.2*c. how many joules of heat are released by the rock?

3. how many kilojoules of heat are absorbed when 1.00 l of water is heated from 19*c to 82*c?

1. 1.116 J/g.°C.

2. 184.184 J.

3. 263.718 kJ.

Explanation:

1. When 400 J of heat is added to 5.6 g of olive oil at 23°C, the temperature increases to 87°C. What is the specific heat of the olive oil?

Q = m.c.ΔT,

where, Q is the amount of heat absorbed by olive oil (Q = 400.0 J).

m is the mass of olive oil (m = 5.60 g).

c is the specific heat capacity of lead (c = ??? J/g.°C).

ΔT is the temperature difference (final T - initial T) (ΔT =  87 °C - 23 °C = 64.0 °C).

∵ Q = m.c.ΔT

∴ c = Q/m.ΔT = (400.0 J)/(5.6 g)(64.0 °C) = 1.116 J/g.°C.

2. A small rock is heated and placed in a foam cup calorimeter containing 20.0 mL of water at 25.0°C. The water reaches a maximum temperature of 27.2°C. How many joules of heat are released by the rock?  

Q = m.c.ΔT,

where, Q is the amount of heat absorbed by water (Q = ??? J).

m is the mass of water (m = d.V = (1.0 g/mL)(20.0 mL) = 20.0 g).

c is the specific heat capacity of lead (c = 4.186 J/g.°C).

ΔT is the temperature difference (final T - initial T) (ΔT =  27.2 °C - 25.0 °C = 2.2 °C).

∴ Q = m.c.ΔT = (20.0 g)(4.186 J/g.°C)(2.2 °C) = 184.184 J.

3. How many kilojoules of heat are absorbed when 1.00 L of water is heated from 19°C to 82°C?

Q = m.c.ΔT,

where, Q is the amount of heat absorbed by water (Q = ??? J).

m is the mass of water (m = d.V = (1.0 g/mL)(1000.0 mL) = 1000.0 g = 1.0 kg).

c is the specific heat capacity of lead (c = 4.186 J/g.°C).

ΔT is the temperature difference (final T - initial T) (ΔT =  82.0 °C - 19.0 °C = 63.0 °C).

∴ Q = m.c.ΔT = (1.0 kg)(4.186 J/g.°C)(63.0 °C) = 263.718 kJ.

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