Question

The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0°C to 50°C when no work is done is ______.

(R is the universal gas constant.)

Options

• 750 R

• 175 R

• 500 R

• 250 R

Answer 1

The amount of heat needed to raise the temperature of 4 moles of a rigid diatomic gas from 0°C to 50°C when no work is done is 500 R.

Explanation:

Applying the first law of thermodynamics,

δQ = δW + dU

Here, δW = 0

δQ = dU = nC_vΔT = `4[5/2 R][50]`

= 500 R