Question

A larger balloon has 2.5 l of nitrogen gas at 298 k . If the temperature is increased to 333 k , what will be the new volume of balloon filled with nitrogen

Answer 1

Answer: The new volume of baloon filled with nitrogen is 2.8 L

Step-by-step explanation:

To calculate the final volume 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=2.5L\\T_1=298K\\V_2=?\\T_2=333K`

Putting values in above equation, we get:

`(2.5)/(298)=(V_2)/(333)\\\\V_2=2.8L`

Thus the new volume of baloon filled with nitrogen is 2.8 L