Question

A municipal solid waste digester generates 1000 kg of methane gas. The volume of the tank needed to store this gas at 30°C and 3 atmospheric pressure is ________ liters (an integer value).
Use R=0.082 L-atm/mole-K, Atomic weights of C=12, and H=1

Answer 1

Correct Answer: 517625

Step 1: Convert mass of methane to moles. \[ \text{Molecular weight of CH}_4 = 16 \text{ g/mol} \] \[ \text{Moles of methane} =  \frac{1,000,000 \text{ grams}}{16 \text{ g/mol}} = 62,500 \text{ moles} \] Step 2: Apply the Ideal Gas Law to calculate volume. 
V =517,625