$10 \, mol$ of an ideal gas expands isothermally and reversibly from a pressure of $10 \, atm$ to $1 \, atm$ at $300 \, K$. What is the largest mass (in $kg$) which can be lifted through a height of $100 \, m$ by the energy obtained in this process (in $, kg$)?
- A$31842$
- B$58.55$
- C$342.58$
- D$5855$
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Similar Questions
Calculate the enthalpy change when $50 \ mL$ of $0.01 \ M$ $Ca(OH)_2$ reacts with $25 \ mL$ of $0.01 \ M$ $HCl$. Given that $\Delta H^o_{\text{neutralisation}}$ of strong acid and strong base is $-57.1 \ kJ \ mol^{-1}$. [Assuming that $Ca(OH)_2$ is a strong base]
Difficult
View SolutionOne mole of water is converted into steam at $373 \, K$. The heat absorbed at $1 \, atm$ pressure is $40.68 \, kJ$. If the molar volumes of water and steam are $18 \, mL$ and $30600 \, mL$ respectively,find $\Delta U$ for the process in $kJ$.
Difficult
View SolutionMatch the transformations in column $I$ with appropriate options in column $II$.
Column $I$ Column $II$ $A$. $CO_{2(s)} \rightarrow CO_{2(g)}$ $p$. phase transition $B$. $CaCO_{3(s)} \rightarrow CaO_{(s)} + CO_{2(g)}$ $q$. allotropic change $C$. $2H_{(g)} \rightarrow H_{2(g)}$ $r$. $\Delta H$ is positive $D$. $P_{(\text{white, solid})} \rightarrow P_{(\text{red, solid})}$ $s$. $\Delta S$ is positive $t$. $\Delta S$ is negative
| Column $I$ | Column $II$ |
| $A$. $CO_{2(s)} \rightarrow CO_{2(g)}$ | $p$. phase transition |
| $B$. $CaCO_{3(s)} \rightarrow CaO_{(s)} + CO_{2(g)}$ | $q$. allotropic change |
| $C$. $2H_{(g)} \rightarrow H_{2(g)}$ | $r$. $\Delta H$ is positive |
| $D$. $P_{(\text{white, solid})} \rightarrow P_{(\text{red, solid})}$ | $s$. $\Delta S$ is positive |
| $t$. $\Delta S$ is negative |
DifficultIIT 2011
View SolutionFor the hypothetical reaction
$A_{2(g)} + B_{2(g)} \rightleftharpoons 2AB_{(g)}$
$\Delta_r G^o$ and $\Delta_r S^o$ are $20 \ kJ/mol$ and $-20 \ J K^{-1} mol^{-1}$ respectively at $200 \ K$.
If $\Delta_r C_P$ is $20 \ J K^{-1} mol^{-1}$ then $\Delta_r H^o$ at $400 \ K$ is.....$kJ/mol$
$A_{2(g)} + B_{2(g)} \rightleftharpoons 2AB_{(g)}$
$\Delta_r G^o$ and $\Delta_r S^o$ are $20 \ kJ/mol$ and $-20 \ J K^{-1} mol^{-1}$ respectively at $200 \ K$.
If $\Delta_r C_P$ is $20 \ J K^{-1} mol^{-1}$ then $\Delta_r H^o$ at $400 \ K$ is.....$kJ/mol$
Medium
View SolutionIf standard molar enthalpy change and standard molar internal energy change measured in a bomb calorimeter are equal,which one of the following statements is correct?
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