A chemist is pumping nitrogen gas into a 500-liter sealed vat, which is being heated by a large heating element. Wanting to understand the rate at which pressure is changing in the vat, the chemist recalls the ideal gas law
PV=nRT
where -
P is the pressure of the gas in Pascals -
V is the volume of the vat in liters -
n is the number of gas particles in moles -
R is the ideal gas constant with units of Pascal liters per kelvin per mole. -
T is the temperature of the gas in kelvins Nitrogen gas is being pumped into the vat at a rate of 100 moles/second and the heating element is powered so that the temperature of the gas at time t is t2+300kelvins. If there were 1000 moles of nitrogen gas in the vat at time t=0 when the experiment began, at what rate is the pressure in the vat increasing; at t=600 seconds? Do not use an actual value for R. Rather, write your answer in terms of R. Include units in your answer.