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  • The change in internal energy (in %) when a gas is cooled from <img alt="927^{\circ}\: \: to\: \: 27^{\circ}" src="/latex-image/?927%5E%7B%5Ccirc%7D%5C%3A%20%5C%3A%20to%5C%3A%20%5C%3A%2027%5E%

The change in internal energy (in %) when a gas is cooled from 927^{\circ}\: \: to\: \: 27^{\circ}, is

Option: 1

75


Option: 2

200


Option: 3

250


Option: 4

300


Answers (1)

best_answer

T1 = 927 + 273 = 1200 K

T2 = 27 + 273 = 300 K

internal energy ∝ Temperature

U ∝ T

So,

(U1 / U2) = (T1 / T2)

 [(U1 – U2) / U2] = [(T1 – T2) / T2]

% change in energy =  [(T1 – T2) / T2] X 100

% change in energy = [{(1200 – 300) / (300)} × (100)]

= 3 × 100 = 300%

Posted by

HARSH KANKARIA

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