he gas law for an ideal gas at absolute temperature T (in Kelvins), pressure P (in atmospheres), and volume V (in Liters) is PV=nRT, where n is the number of moles of the gas and R=0.0821 L atm/mol/K is the gas constant. Consider n=1 mol of gas. Let P=P(t), V=V(t), T=T(t) be quantities that change over time. Suppose that, at a certain instant, P=2.9 atm and is decreasing at a rate of 0.16 atm/min. T=197K and is increasing at a rate of 2K/min, and V=nRT/P L, from the original relation. Find the rate of change of V with respect to time at that instant. dV/dt= Give the answer accurate to the thousandths decimal place, as a numerical answer in the assumed units Liters/minute.
The gas law for an ideal gas at absolute temperature T (in Kelvins), pressure P (in atmospheres), and volume V (in Liters) is PV=nRT, where n is the number of moles of the gas and R=0.0821 L atm/mol/K is the gas constant. Consider n=1 mol of gas. Let P=P(t), V=V(t), T=T(t) be quantities that change over time. Suppose that, at a certain instant, P=2.9 atm and is decreasing at a rate of 0.16 atm/min. T=197K and is increasing at a rate of 2K/min, and V=nRT/P L, from the original relation. Find the rate of change of V with respect to time at that instant.
dV/dt=
Give the answer accurate to the thousandths decimal place, as a numerical answer in the assumed units Liters/minute.
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