If 0.280litres of a gas weighs 0 .4grams ,what is the molar mass
Answers
Answer:
The molar mass of gas is 0.0493 g/mol.
Explanation:
You will need to use the equation for the ideal gas law:
PV=nRT
where:
P is pressure,
V is volume,
n is moles,
R is gas constant, and
T is temperature.
STP is 0∘C or 273.15 K (required for gas laws), and 10^5 Pa or 100 kPa.
Use the equation for the ideal gas law to calculate moles of gas. Then calculate the molar mass by dividing the given mass by the calculated moles.
Known P = 100 kPa
V = 0.280 L
R = 8.31446 L kPa/ Kmol
T = 273.15 K
Solution
Rearrange the ideal gas law equation to isolate n. Plug in the known values and solve.
n = PV/RT
n =100kPa * 0.280 L / 8.31446 LkPa/K mol * 273.15K.
n = 0.1233 mol.
(rounded to three significant figures)
To calculate the molar mass of the gas, divide its given mass in grams by the calculated number of moles.
molar mass = 0.4 grams / 0.1233 mol
= 0.0493 g/mol.