Answer:
4.8 g/mL is the density of chloroform vapor at 1.00 atm and 298 K.
Step-by-step explanation:
By ideal gas equation:
![PV=nRT](https://img.qammunity.org/2021/formulas/physics/high-school/xmnfk8eqj9erqqq8x8idv0qbm03vnipq7i.png)
Number of moles (n)
can be written as:
![n=(m)/(M)](https://img.qammunity.org/2021/formulas/chemistry/college/8br1xf1452jiebvt4uzhr78oahihkt3cq9.png)
where, m = given mass
M = molar mass
![PV=(m)/(M)RT\\\\PM=(m)/(V)RT](https://img.qammunity.org/2021/formulas/chemistry/high-school/mgkkgjp86lvc94vsx3ofp53ws4zob836oe.png)
where,
which is known as density of the gas
The relation becomes:
.....(1)
We are given:
M = molar mass of chloroform= 119.5 g/mol
R = Gas constant =
![0.0821\text{ L atm }mol^(-1)K^(-1)](https://img.qammunity.org/2021/formulas/chemistry/college/mywna2mtf2ux2lr4ktud6xs5f7jtqclijp.png)
T = temperature of the gas =
![298K](https://img.qammunity.org/2021/formulas/physics/college/quibypmyc1xd1gtwlvkv1rbwixpu7h1ela.png)
P = pressure of the gas = 1.00 atm
Putting values in equation 1, we get:
![1.00atm* 119.5g/mol=d* 0.0821\text{ L atm }mol^(-1)K^(-1)* 298K\\\\d=4.88g/L](https://img.qammunity.org/2021/formulas/chemistry/high-school/w5jt1jo5vnd4nm1n8l6ifhi5gaimu2ikvp.png)
4.8 g/mL is the density of chloroform vapor at 1.00 atm and 298 K.