Question

How many miles of a gas at 100 c does it take to fill a 1.00 l flask to a pressure of 152kPa

Answer 1

The complete question is as follows: How many moles of a gas at 100 c does it take to fill a 1.00 l flask to a pressure of 152kPa

Answer: There are 0.0489 moles of a gas at
`100^(o)C` is required to fill a 1.00 l flask to a pressure of 152kPa.

Step-by-step explanation:

Given: Volume = 1.00 L,

Pressure = 152 kPa (1 kPa = 1000 Pa) = 152000 Pa

Convert Pa into atm as follows.

`1 Pa = 9.86 * 10^(-6) atm\\152000 Pa = 152000 * (9.86 * 10^(-6)atm)/(1 Pa)\\= 1.5 atm`

Temperature =
`100^(o)C = (100 + 273) K = 373 K`

Using the ideal gas formula as follows.

PV = nRT

where,

P = pressure

V = volume

n = no. of moles

R = gas constant = 0.0821 L atm/mol K

T = temperature

Substitute the values into above formula as follows.

`PV = nRT\\1.5 atm * 1.0 L = n * 0.0821 L atm/mol K * 373 K\\n = (1.5 atm * 1.0 L)/(0.0821 L atm/mol K * 373 K)\\n = 0.0489 mol`

Thus, we can conclude that there are 0.0489 moles of a gas at
`100^(o)C` is required to fill a 1.00 l flask to a pressure of 152kPa.