Question

An ideal gas at 22 °C is in a sealed rigid cubic container with a volume of 113 cm at a pressure of 1.00 atm. It is heated by 55 °C to 77 °C. a) Draw a diagram. Label quantities for the initial situation with a subscript “1”, and quantities in the final situation with a subscript “2”. b) How many moles are in the gas? Write down the ideal gas law for either case, the solve algebraically for n. Plug in numbers with units to get an answer. (Hint: do you need to use Rork? Why? What does “sealed” mean in this context?) c) Find the new pressure in atm: certain quantities are the same in both case 1 and case 2. Write the ideal gas law for each case and solve each for nR. Equate the results to get an equation for Pı, VI, T, P2, V2, and T2. Solve this algebraically for P2. Plug and chug numbers with units. (Hint: what unit conversions do you need, and what do you NOT need to do? How are V, and V2 related?)

Data: 1.0 atm = 1.01 × 105Pa; R = 8.314 J/mol·K; k = 1.38 × 10−23 J/K