ICSE Class 9 Answered
It is found, on heating a gas, its volume increases by 50% and pressure decreases to 60% of its original value. If the original temperature was -15 degree celcius, find the temperature to which it was heated in celcius
Asked by abeshchakraborty6 | 23 Feb, 2020, 08:54: AM
Given:
T1 = −15 °C
= −15 + 273 = 258 K
T2 = ?
V1 = V
V2 = V + ![50 over 100 straight V](https://images.topperlearning.com/topper/tinymce/cache/4e122ed44d2996c72fdc33a485309ac0.png)
![50 over 100 straight V](https://images.topperlearning.com/topper/tinymce/cache/4e122ed44d2996c72fdc33a485309ac0.png)
![equals space straight V plus bevelled 1 half straight V
equals bevelled 3 over 2 straight V](https://images.topperlearning.com/topper/tinymce/cache/12c3118da140d2ef941763f7db4dbec2.png)
P1 = P
P2 = ![60 over 100 straight P](https://images.topperlearning.com/topper/tinymce/cache/b779e38ae2b1c950fcd5ff24b9ac3b0b.png)
![60 over 100 straight P](https://images.topperlearning.com/topper/tinymce/cache/b779e38ae2b1c950fcd5ff24b9ac3b0b.png)
P2 = ![3 over 5 straight P](https://images.topperlearning.com/topper/tinymce/cache/b37b83802c831b4585029ffad33218e8.png)
![3 over 5 straight P](https://images.topperlearning.com/topper/tinymce/cache/b37b83802c831b4585029ffad33218e8.png)
Using ideal gas Law,
![fraction numerator straight P subscript 1 straight V subscript 1 over denominator straight T subscript 1 end fraction equals fraction numerator straight P subscript 2 straight V subscript 2 over denominator straight T subscript 2 end fraction
fraction numerator straight P cross times straight V over denominator 258 end fraction space equals fraction numerator open parentheses begin display style bevelled 3 over 5 end style close parentheses straight P cross times open parentheses begin display style bevelled 3 over 2 end style close parentheses straight V over denominator straight T subscript 2 end fraction
straight T subscript 2 space equals space fraction numerator 258 cross times 3 cross times straight P cross times 3 cross times straight V over denominator 5 cross times 2 cross times straight P cross times straight V end fraction
space straight T subscript 2 equals space 232.2 space straight K](https://images.topperlearning.com/topper/tinymce/cache/a14a719241077f7ec397f7dd57e03e57.png)
The temperature is 232.2 K
Answered by Varsha | 24 Feb, 2020, 12:25: PM
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