Question

A student decreases the temperature of a 556 c m cubed balloon from 278 K to 231 K. Assuming constant pressure, what should the new volume of the balloon be?

Question 1 options:

924cm3


417cm3


347cm3


876cm3

Answer 1

Answer:

The new volume of the balloon be $462\ cm^3$.

Explanation:

We have,

Initial volume is 556 cm ³

The temperature of the balloon decreases from 278 K to 231 K.

We need to find the new volume of the balloon if the pressure is constant.

The Charles law states that at constant pressure, the volume of gas is directly proportional to its temperature i.e.

$V\propto T$, P is constant

$\dfrac{V_1}{V_2}=\dfrac{T_1}{T_2}$

$V_2=\dfrac{V_1T_2}{T_1}\\\\V_2=\dfrac{556\times 231}{278}\\\\V_2=462\ cm^3$

So, the new volume of the balloon be $462\ cm^3$.