Question

How many moles of an ideal gas is contained in a cylinder with a volume of 137 mL, a pressure of 52.0 cm of Hg and a temperature of 98 degrees Fahrenheit? SHOW WORK!

Answer 1

Answer: The number of moles of ideal gas are 0.0037 moles

Step-by-step explanation:

To calculate the mass of helium gas, we use the equation given by ideal gas:

PV = nRT

where,

P = Pressure of helium gas = 52 cmHg = 520 mm Hg (Conversion factor: 1 cm = 10 mm)

V = Volume of the helium gas = 137 mL = 0.137 L (Conversion factor: 1L = 1000 mL)

n = number of moles of gas = ?

R = Gas constant =
`62.3637\text{ L.mmHg }mol^(-1)K^(-1)`

T = Temperature of helium gas =
`98^oF=309.817K` (Conversion factor:
`(T(K)-273.15)=(T(^oF)-32)* (5)/(9)` )

Putting values in above equation, we get:

`520mmHg* 0.137L=n* 62.3637\text{ L.mmHg }mol^(-1)K^(-1)* 309.817K\\\\n=0.0037mol`

Hence, the number of moles of gas is 0.0037 moles.