At what temperature is a 5.0 L container of 4.0 g of hydrogen gas at 15.0 atm, assuming it obeys the ideal gas law?

Question

Quizplus · Accepted Answer

To find the temperature, we use the ideal gas law equation: PV = nRT, where P is pressure, V is volume, n is the number of moles, R is the ideal gas constant (0.0821 L·atm/(mol·K)), and T is temperature in Kelvin. First, calculate the number of moles of hydrogen gas (H2) using its molar mass (2.02 g/mol): n = 4.0 g / 2.02 g/mol = 1.98 mol. Then, rearrange the ideal gas law to solve for T: T = PV / (nR). Substituting the given values and converting the temperature to Celsius: T = (15.0 atm * 5.0 L) / (1.98 mol * 0.0821 L·atm/(mol·K)) = 457.3 K. Converting to Celsius: 457.3 K - 273.15 = 184.15°C, which rounds to 184°C.

At What Temperature Is a 5