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Let the number of moles of air pesent in the vessel = n
75% means ¾ th of the original moles of gas has been expelled.
Therefore, the remaining number of moles of air in the vessel = (n – ¾ n)
= ¼ n
At constant pressure and volume,
n1T1= n2T2
n x 310 = ¼ n x T2
T2 = 1240 K = 967 degree Celcius
Hence, the temperature to which the vessel has been heated is 967 degree Celcius.
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