Answer: The mass of chlorine gas is 4.54 grams.
Step-by-step explanation:
To calculate the mass of the gas, we use the equation given by ideal gas equation:
![PV=nRT](https://img.qammunity.org/2020/formulas/chemistry/high-school/uelah1l4d86yyc7nr57q25hwn1eullbhy3.png)
Or,
![PV=(m)/(M)RT](https://img.qammunity.org/2020/formulas/chemistry/college/i7r9ztble37zn7x6cq3nly5jymehvr5eew.png)
where,
P = pressure of the gas = 98.7 kPa
V = Volume of gas = 3.34 L
m = given mass of chlorine gas = ?
M = Molar mass of chlorine gas = 35.45 g/mol
R = Gas constant =
![8.31\text{ L kPa }mol^(-1)K^(-1)](https://img.qammunity.org/2020/formulas/chemistry/college/j6b5cuwjx9szyzygg3x5qcfkli6rx4upa7.png)
T = Temperature of the gas =
![37^oC=[37+273]=310K](https://img.qammunity.org/2020/formulas/chemistry/college/ng4m50k36ufwi9zo8jhbhm9g5iiml4peji.png)
Putting values in above equation, we get:
![98.7kPa* 3.34L=(m)/(35.45g/mol)* 8.31\text{ L kPa }mol^(-1)K^(-1)* 310K\\\\m=4.54g](https://img.qammunity.org/2020/formulas/chemistry/college/hakza406i78j331yulrl8aiykdtird7hpr.png)
Hence, the mass of chlorine gas is 4.54 grams.