Question

I

A sample of gas has a volume of 606 mL at 35 °C. What temperature is necessary for the
gas to have a volume of 854 ml?
A 49 K
B. 707 K
C. 219 K
D. 434 K

Answer 1

Answer: D. 434 K

Step-by-step explanation:

To calculate the final temperature of the system, we use the equation given by Charles' Law. This law states that volume of the gas is directly proportional to the temperature of the gas at constant pressure.

Mathematically,

`(V_1)/(T_1)=(V_2)/(T_2)`

where,

`V_1\text{ and }T_1` are the initial volume and temperature of the gas.

`V_2\text{ and }T_2` are the final volume and temperature of the gas.

We are given:

`V_1=606ml\\T_1=35^oC=(35+273)K=308K\\V_2=854ml\\T_2=?`

Putting values in above equation, we get:

`(606)/(308)=(854)/(T_2)\\\\T_2=434K`

Thus temperature necessary for the gas to have a volume of 854 ml is 434 K