JEE Mains · Physics · STD 11 - 11. thermodynamics
Density of water at \(4^{\circ} C\) and \(20^{\circ} C\) are \(1000 kg / m ^3\) and respectively. The increase in internal energy of 4 kg water when it is heated from \(4{ }^{\circ} C\) to \(20^{\circ} C\) is _________ J.
(Specific heat capacity of water \(=4.2 KJ / kg\). and 1 atmospheric pressure \(=10^5 Pa\) )
- A 315826.2
- B 234699.2
- C 258700.8
- D 268799.2
Answer & Solution
Correct Answer
(D) 268799.2
Step-by-step Solution
Detailed explanation
\( Q=mS\Delta T=4\times4200\times16~J=268800~J \) \( W=P\Delta V \) \( \Delta V=(\frac{m}{\rho_{f}}-\frac{m}{\rho_{i}})=4[\frac{1}{998}-\frac{1}{1000}] \) \( P=10^{5}Pa. \) ..…
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