To find: The rate of change of T with respect to time if n = 10 mol.
The rate of change of T with respect to time if n = 10 mol is approximately −0.2436 K/min.
The gas law for an ideal gas is given by PV = nRT, where T is absolute temperature in Kelvins, P is pressure in atmosphere, V is volume in liters, n is the number of moles of the gas and the value of gas constant R = 0.0821.
Also given that P = 8 atm and and V = 10 L,
An ideal gas function is given by PV = nRT.
Express the function in terms of T as, .
Substitute, R = 0.0821 and n = 10,
Obtain the derivative of T with respect to t as follows,
Substitute the respective values in the equation (1),
Thus, the derivative,
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