First slide

Calculation of pressure

Question

Certain amount of ideal gas is confined to a rigid container at pressure $8 \times 10^{5} N / m^{2}$ . Then internal energy per unit volume of the gas is

Easy

A

1.2 $M J / m^{3}$
B

2.4 $M J / m^{3}$
C

8.4 $M J / m^{3}$
D

0.8 $M J / m^{3}$

Solution

$P = \frac{2}{3} E$ where E = internal energy per unit volume.
$∴ E = \frac{3}{2} P = \frac{3}{2} \times 8 \times 10^{5} J / m^{3} = 1.2 M J / m^{3}$

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