1.

For one mole of an ideal gas the slope of V vs. T curve at constant pressure of 2 atm is X lit "mol"^(-1)K^(-1). The value of the ideal universal gas constant R in termsof X is

Answer»

X lit ATM `"mol"^(-1)K^(-)`
X/2 lit atom `"mol"^(-1)K^(-1)`
2X lit atm `"mol"^(-1)K^(-1)`
2X atm `"lit"^(-1)"mol"^(-1)K^(-1)`

Solution :We can TAKE T to be the independent variable and V tobe the dependent variable. Now, for ONE mole of an ideal GAS ,
`PV=RT`
`impliesV/T=R/Pimplies` slope `=R/P=X` lit `"mol"^(-1)K^(-1)`
`impliesR=PxxX` lit `"mol"^(-1)K^(-1)`
`R=23` atm `xx X` lit `"mol"^(-1)K^(-)` ( `:. P=2` atm)
`impliesR=2` X lit atm `"mol"(-1)K^(-1)`


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