Dear Math Help Participants,
The ideal gas law states that
PV = nRT,
where P is pressure (in atmospheres), V is volume (in liters), n is the number of moles of gas atoms (a mole contains 6.02 x 1023 atoms), R is the gas constant (0.08206 L atm mol–1 K–1). Suppose 5 moles of helium is contained in a cylinder whose volume is decreasing at the rate of 2 L/sec, while the pressure is increasing at the rate of ½ atmosphere per second. How fast is the temperature changing when the pressure is 4 atm, the volume is 100 liters, and the temperature is 300K? HINT: n is constant here, unlike the examples! (answers given are approximate, in units of degrees Kelvin per second)
Any help would be greatly appreciated. Thanks in advance
The ideal gas law states that
PV = nRT,
where P is pressure (in atmospheres), V is volume (in liters), n is the number of moles of gas atoms (a mole contains 6.02 x 1023 atoms), R is the gas constant (0.08206 L atm mol–1 K–1). Suppose 5 moles of helium is contained in a cylinder whose volume is decreasing at the rate of 2 L/sec, while the pressure is increasing at the rate of ½ atmosphere per second. How fast is the temperature changing when the pressure is 4 atm, the volume is 100 liters, and the temperature is 300K? HINT: n is constant here, unlike the examples! (answers given are approximate, in units of degrees Kelvin per second)
Any help would be greatly appreciated. Thanks in advance
