How many moles of gas are in a 30 liter scuba canister if the tempature of the canister is 300 k and pressure is 200 atmospheres?

To calculate the number of moles of gas in a scuba canister, we can use the ideal gas law equation, which is:

PV = nRT

Where:
P = pressure (in atmospheres)
V = volume (in liters)
n = number of moles
R = ideal gas constant (0.0821 L atm / mol K)
T = temperature (in Kelvin)

In this case, we have:
P = 200 atmospheres (given)
V = 30 liters (given)
T = 300 K (given)
R = 0.0821 L atm / mol K (constant)

To calculate the number of moles (n), we need to rearrange the equation:

n = PV / RT

Substituting the given values:

n = (200 atm) * (30 L) / (0.0821 L atm / mol K) * (300 K)

Now, we can calculate this expression to find the number of moles.

PV = nRT and solve for n. T must be in kelvin, P in atm and V in L.