Question

A 10.0 mL syringe contains 0.10 g of nitrogen gas at 0.0 degrees Celsius. What is the pressure inside the syringe?

Answer 1

some unit conversions we need to do first:

- convert 0.10g of nitrogen gas to moles by dividing by the molar mass. recall that nitrogen gas is diatomic so use the molar mass of N2 not simply N.

- convert 10.0 mL to L by dividing by 1000.

- convert Celcius to Kelvin by adding 273.15

once your units are in L, moles, K, you can use the ideal gas constant R = 0.08206 Latm/(molK).

finally, use the formula PV = nRT, plug in volume, n, R, and T, and solve for P