Chem

posted by .

a container of 2.00 moles of an ideal gas as 1000 K undergoes a constant pressure and volume process in which the number of moles is increased to 5moles. what is the final temperature of the gas.

How do I start this? Do I somehow use the ideal gas law?

  • Chem -

    Use PV=nRT

    so R=P1V1/n1T1

    and R=P1V1/n2T2

    R=P1V1/n1T1=P1V1/n2T2

    n1T=n2T2

  • Chem -

    I got the answer to be 400. But can you explain to me those formulas? I'm still a bit confuse on how you got them. Where do these P1 and P2 and T1 and T2 come from

  • Chem -

    The original formula is

    PV=nRT

    for the question given we have a set of starting conditions

    P=P1
    V=V1
    n=n1
    T=T1

    hence

    P1 x V1=n1 x R x T1

    which rearranges to

    R=P1V1/n1T1

    the second set of conditions is

    P=P1
    V=V1
    (because P1 and V1 are constant in the question)
    T=T2
    N=n2

    so

    R=P1V1/n2T2

    as R is the same in both cases

    R=P1V1/n1T1=P1V1/n2T2

    which rearranges to

    n1T=n2T2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. pressure

    a flexible container at an initial volume of 7.14L contains 9.51mol of gas. more gas is then added to the container until it reaches final volume of 17.1L. assuming the pressure and temperature of the gas remain constant, calculate …
  2. Physics

    Consider an ideal gas enclosed within a container with a moveable piston and a valve through which additional ideal gas can be added to the container. Which one of the following actions may not result in an increase in pressure?
  3. Chem

    A flexible container at an initial volume of 5.12 L contains 7.51 mol of gas. More gas is then added to the container until it reaches a final volume of 18.3 L. Assuming the pressure and temperature of the gas remain constant, calculate …
  4. chemistry

    Ideal Mixed Gas Law problems 1. What is the pressure generated by a mixture of 25.6 g SO2 and 12.6 g Ne in a container of 72.45 L and temperature of 131 K?
  5. chemistry

    If I contain 3 moles of gas in a container with a volume of 60 liters and at temperature of 400 K, what is the pressure inside the container?
  6. chem

    A flexible container at an initial volume of 8.15 L contains 2.51 mol of gas. More gas is then added to the container until it reaches a final volume of 12.1 L. Assuming the pressure and temperature of the gas remain constant, calculate …
  7. Physics

    A tank with a constant volume of 3.44 m3 contains 14 moles of a monatomic ideal gas. The gas is initially at a temperature of 300 K. An electric heater is used to transfer 52600 J of energy into the gas. It may help you to recall that …
  8. Physics

    A cylinder with a movable piston contains 14 moles of a monatomic ideal gas at a pressure of 2.26 × 105 Pa. The gas is initially at a temperature of 300 K. An electric heater adds 52600 J of energy into the gas while the piston moves …
  9. Physics

    Suppose that 4.7 moles of a monatomic ideal gas (atomic mass = 8.5 × 10^-27 kg) are heated from 300K to 500K at a constant volume of 0.47 m^3. It may help you to recall that CVCV = 12.47 J/K/mole and CPCP = 20.79 J/K/mole for a monatomic …
  10. physics

    A monoatomic ideal gas has Cp= 5R/2 a) four moles of the gas undergoes a process in which the temperature of the gas increases from 300 K to 500 K while the pressure is kept constant at 2.00 x 105 Pa. What is the change in the internal …

More Similar Questions