Final answer:
To find the ratio f(vp)/f(vrms) for hydrogen gas at a temperature of 77.0 K, calculate the values of f(vp) and f(vrms) using the given formulas. Then, compare the ratio to the given options to find the correct answer.
Step-by-step explanation:
To find the ratio f(vp)/f(vrms) for hydrogen gas at a temperature of 77.0 K, we first need to calculate the values of f(vp) and f(vrms).
For f(vp), we use the formula f(vp) = (4/√π) * (M/2πRT)^3/2 * V^2 * exp(-Mv^2/2RT), where M is the molar mass of the gas, R is the gas constant, T is the temperature in Kelvin, and V is the volume.
For f(vrms), we use the formula f(vrms) = (4/√π) * (M/2πRT)^3/2 * V^2 * exp(-Mv^2/2RT) * v^2, where v is the average velocity of the gas.
After calculating the values of f(vp) and f(vrms), we can find the ratio f(vp)/f(vrms) and compare it to the given options to determine the correct answer.