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States Of Matter

Question
CBSEENCH11005927

Calculate the temperature of 4·0 moles of a gas occupying 5 dm3 at 3·32 bar (R = 0·083 bar dm3 K–1 mol–1).

Solution

Here,
n = 4.0 mol
P = 3.32 bar
V = 5 dm3,  
R = 0.083 bar dm3 K-1 mol-1

Applying ideal gas equation PV = nRT,
or space space space space straight T space equals space PV over nR
Substituting the values, we have,
 straight T space equals space fraction numerator 3.32 space bar space cross times space 5 space dm cubed over denominator 4 space mol space cross times space 0.083 space bar space dm cubed space straight K to the power of negative 1 end exponent space mol to the power of negative 1 end exponent end fraction
space space space space equals space 50 space straight K