Question

What is the internal energy of 4.50 mol of N2 gas at 253°C? To solve this

Answer 1

The internal energy of the gas is 49,200 J

Explanation:

The internal energy of a diatomic gas, such as $N_2$, is given by

$U=\frac{5}{2}nRT$

where

n is the number of moles

R is the gas constant

T is the absolute temperature of the gas

For the gas in this problem, we have:

n = 4.50 (number of moles)

R = 8.31 J/(mol·K) (gas constant)

$T=253^{\circ} + 273 = 526 K$ (absolute temperature)

Substituting, we find:

$U=\frac{5}{2}(4.50)(8.31)(526)=49,200 J$

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