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  • On a ship sailing in Pacific ocean where temperature is ,

On a ship sailing in Pacific ocean where temperature is \small 23.4^{\circ}C, a balloon is filled with 2L air. What will be the volume (in L) of balloon when the ship reaches Indian ocean where temperature is \dpi{100} \small 26.1^{\circ}C?

Option: 1

1.56


Option: 2

2.56


Option: 3

1.87


Option: 4

2.01


Answers (1)

best_answer

According to charles’ law, we have:

\frac{V_1}{T_1}=\frac{V_2}{T_2}

Now, we have given:
V1 = 2L
T1= 273 + 23.4 = 296.4K
T2 = 273 + 26.1 = 299.1K

Thus:

\\\mathrm{V_{2}\, =\, \frac{V_{1}\, x\, T_{2}}{T_{1}}}\\\\\mathrm{V_{2}\, =\,\frac{2\, x\, 299.1}{296.4}\: =\: 2.01L}

 

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