Question

Driver of a truck gets his steel petrol tank filled with `75 L` of petrol at `10^(@)C`. If a `alpha_("steel")` is `12 xx 10^(-6)//.^(@)C` and `gamma_("pet")` is `9.5 xx 10^(-4)//.^(@)C` the overflow of petrol at `30^(2)C` is -
A. `7.31 L`
B. `1.37 L`
C. `13.7 L`
D. `1.73 L`

Answer 1

Correct Answer - B
`gamma_("steel") = 3alpha_("steel")`
`=3 xx 12 xx 10^(-6)//.^(@)C`
`= 36 xx 10^(-6)//.^(@)C`
`gamma_(ob) = gamma_("Pet") - gamma_("steel")`
`= 950 xx 10^(-6) -36 xx 10^(-6)`
`= 912 xx 10^(-6)//.^(@)C`
Overflow petrol
`DeltaV = V_(1gammaob) Deltat`
`= 75 xx 912 xx 10^(-6) xx 20`
`= 1.500 xx 912 xx 10^(-6) = 1.37 L`