# Insulation=> simple problem just confused a bit.

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1. Homework Statement
A house has well insulated walls. It contains a vol of 100m^3 of air at 300K

a) calculate the E required to increase the T of the diatomic gas by 1.00C

b) If this E could be used to lift an object of mass m through a height of 2.00m what is the mass of m?

2. Homework Equations
$$Q=m C_v \Delta T$$= > constant V
$$\Delta U= Q$$
$$C_v= 5R/2$$

$$Q=mC_p \Delta T$$=> constant P
$$\Delta U= Q + W= nC_p \Delta T + (-P\Delta V)$$
$$C_p= 7R/2$$

3. The Attempt at a Solution

a)calculate the E required to increase the T of the diatomic gas by 1.00C

I would think that the insulation would make the volume be constant but that's what I'm not sure about. (I was thinking that the temperature would be constant but if they ask how much E is needed to raise the temperature then it can't be that the temperature would be the same...)

b) b) If this E could be used to lift an object of mass m through a height of 2.00m what is the mass of m?
would I just use $$\Delta PE= mgh$$and find m ?

Thank you very much.

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I have a quiz and if no one does then I'll be forced to assume that the volume doesn't change even if it may be incorrect. 