When a supply of hydrogen gas is held in a 4 liter container at 320 K it exerts a pressure of 800 torr. The supply is moved to a 2 liter container, and cooled to 160 K. What is the new pressure of the confined gas?

Answer 1

The answer is #P_2 = 800# #t o rr#.

The best way to approach this problem is by using the ideal gas law, #PV = nRT#. Since the hydrogen is moved from a container to another, we presume that the number of moles remains constant. This will give us 2 equations

#P_1V_1 = nRT_1# and #P_2V_2 = nRT_2#. Since #R# is a constant as well, we can write

#nR = (P_1V_1)/T_1 = (P_2V_2)/T_2 -># the combined gas law.

Consequently, we have

#P_2 = V_1/V_2 * T_2/T_1 * P_1 = (4L)/(2L) * (160K)/(320K) * 800t o rr = 800t o rr#.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Julia Aguilar

Use the combined gas law to solve for the new pressure of the gas. The combined gas law equation is ( P_1V_1/T_1 = P_2V_2/T_2 ), where ( P_1 ), ( V_1 ), and ( T_1 ) are the initial pressure, volume, and temperature, respectively, and ( P_2 ), ( V_2 ), and ( T_2 ) are the final pressure, volume, and temperature, respectively. Plug in the given values and solve for ( P_2 ).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.