You inject natural gas into your blast furnace to supplement a shortage of coke. The chemical formula for natural gas is CH4 (assume 100% methane). The amount of natural gas injected is 50 kilograms for every tonne of hot metal you produce.

a. How many NM3 of natural gas per tonne of hot metal (thm) does this represent (assuming STP)?

b. What is the â€˜actualâ€™ volume of natural gas injected per thm if its temperature is 20 degrees Celsius and its pressure is 3 atmospheres?

Any help will be greatly appreciated. Thank you in advance.