Find the number of moles in 2.00L of gas at 35.0 degree Celsius and 74100000N/m square

1 answer

To find the number of moles of gas, we need to use the Ideal Gas Law:

PV = nRT

where P is the pressure in Pa, V is the volume in m^3, n is the number of moles, R is the gas constant (8.31 J/mol-K), and T is the temperature in K.

First, we need to convert the given pressure to Pa:

74100000 N/m^2 = 74100000 Pa

Next, we need to convert the volume to m^3:

2.00 L = 0.00200 m^3

Then, we need to convert the temperature to K:

35.0°C + 273.15 = 308.15 K

Now we can plug in the values and solve for n:

n = PV/RT
n = (74100000 Pa)(0.00200 m^3)/(8.31 J/mol-K)(308.15 K)
n = 0.0180 mol

Therefore, there are 0.0180 moles of gas in the given 2.00 L volume at 35.0°C and 74100000 N/m^2 pressure.