How Does Heat Affect the Internal Energy of an Ideal Gas at Constant Volume?

[klilly]

Homework Statement

A student performs an experiment on an ideal gas by adding 5.000 J of heat to it. As a result the student finds that the pressure of the gas changes from 101.3 kPa to 150.0 kPa while the volume remains constant at 50.00 cm3

(i) By how much did the internal energy of the gas change?
(ii) If the quantity of the gas present is 5 × 10–3 moles, determine the molar specfic heat capacity of the gas that the student would find at constant volume.
(iii) What is the molar specific heat capacity of the gas at constant pressure?

Homework Equations

Q = mc(change in)T ? but we don't have mass
(change in)U = Cv (change in)T ? as the condition in constant volume

The Attempt at a Solution

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[Hootenanny]

Homework Statement

A student performs an experiment on an ideal gas by adding 5.000 J of heat to it. As a result the student finds that the pressure of the gas changes from 101.3 kPa to 150.0 kPa while the volume remains constant at 50.00 cm3

(i) By how much did the internal energy of the gas change?
(ii) If the quantity of the gas present is 5 × 10–3 moles, determine the molar specfic heat capacity of the gas that the student would find at constant volume.
(iii) What is the molar specific heat capacity of the gas at constant pressure?

Homework Equations

Q = mc(change in)T ? but we don't have mass
(change in)U = Cv (change in)T ? as the condition in constant volume

Can you tell me what the internal energy of an ideal gas is. And, more importantly, the two ways in which we can change the internal energy?