question_answer 1)

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

Answer:

Information shadow: At \[23.4~{{\,}^{{}^\circ }}C\]temperature, the volume of the balloon is\[{{26.1}^{{}^\circ }}C\]. The temperature of Indian ocean is, the volume at this temperature is to be calculated. Problem solving strategy: At constant pressure, Charles' law can be applied \[\frac{{{V}_{1}}}{{{T}_{1}}}=\frac{{{V}_{2}}}{{{T}_{2}}}\] Working it out: \[{{T}_{1}}=23.4+273=296.4K\] \[{{V}_{1}}=2L\] \[{{T}_{2}}=26.1+273=299.1K\] \[{{V}_{2}}=?\] \[\frac{{{V}_{1}}}{{{T}_{1}}}=\frac{{{V}_{2}}}{{{T}_{2}}}\] \[\frac{2}{296.4}=\frac{{{V}_{2}}}{299.1}\] \[{{V}_{2}}=2.018L\]