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The Pressure P (In Kilopascals), Volume V (In Liters), and Temperature

Question 269

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The pressure P (in kilopascals), volume V (in liters), and temperature T (in degrees Kelvin), of a mole of an ideal gas are related by the equation PV=8.31TP V = 8.31 T . Find the rate at which the pressure in a container of gas is changing when the temperature is 300K300 ^ { \circ } \mathrm { K } and increasing at a rate of 0.1K/s0.1 ^ { \circ } \mathrm { K } / \mathrm { s } and the volume is 100 liters and increasing at a rate of 0.2 L/s0.2 \mathrm {~L} / \mathrm { s } .

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