Expand 1.00 mol of an monatomic gas initially at 5.00 kPa and 600 K from initial volume V i = 1.00 m 3 to final volume V f = 2.00 m 3 . At any instant during the expansion, the pressure p and volume V of the gas are related by p = 5.00 exp[( V i – V)/a ], with p in kilopascals, V i , and V in cubic meters, and a = 1.00 m 3 What are the final (a) pressure and (b) temperature of the gas? (c) How much work is done by the gas during the expansion? (d) What is ΔS for the expansion? ( Hint: Use two simple reversible processes to find ΔS.)
Expand 1.00 mol of an monatomic gas initially at 5.00 kPa and 600 K from initial volume V i = 1.00 m 3 to final volume V f = 2.00 m 3 . At any instant during the expansion, the pressure p and volume V of the gas are related by p = 5.00 exp[( V i – V)/a ], with p in kilopascals, V i , and V in cubic meters, and a = 1.00 m 3 What are the final (a) pressure and (b) temperature of the gas? (c) How much work is done by the gas during the expansion? (d) What is ΔS for the expansion? ( Hint: Use two simple reversible processes to find ΔS.)
Expand 1.00 mol of an monatomic gas initially at 5.00 kPa and 600 K from initial volume Vi = 1.00 m3 to final volume Vf = 2.00 m3. At any instant during the expansion, the pressure p and volume V of the gas are related by p = 5.00 exp[(Vi – V)/a], with p in kilopascals, Vi, and V in cubic meters, and a = 1.00 m3 What are the final (a) pressure and (b) temperature of the gas? (c) How much work is done by the gas during the expansion? (d) What is ΔS for the expansion? (Hint: Use two simple reversible processes to find ΔS.)
The ideal gas law relates the pressure P, volume V, and temperature T of an
ideal gas:
PV = nRT
where n is the number of moles and R = 8.3145 J/(K mol). Plots of pressure
versus volume at constant temperature are called isotherms. Plot the isotherms
for one mole of an ideal gas for volume ranging from 1 to 10 m', at tempera-
tures of T = 100, 200, 300, and 400 K (four curves in one plot). Label the
axes and display a legend. The units for pressure are Pa. n=1
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 is the gas constant. Suppose that, at a certain instant, P = 9.0 atm and is
increasing at a rate of 0.15 atm/min and V = 13 L and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time at that instant if n = 10 mol. (Round your answer to four decimal places.)
dT=0.512
dt
X K/min
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 is the gas constant. Suppose that, at a certain instant, P = 9.0 atm and is
increasing at a rate of 0.15 atm/min and V = 13 L and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time at that instant if n = 10 mol. (Round your answer to four decimal places.)
K/min
dT_
dt
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