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## 3.95 Cubical expansion of a solid

Problem 3.95: The coefficient of linear expansion of steel is $1.1 × 10^{-5}\:^oC^{-1}$. A steel ball has a volume of exactly $100 cm^3$ at $0^oC$. Find its volume at $100^oC$. Solution: Change in any volume, $(\triangle V)$ is related to original volume $(V)$ as...

## 3.94 Expansion of a metal

Problem 3.94: A rectangular plate of glass initially has the dimensions $0.200\: m$ by $0.300 \:m$. The coefficient of linear expansion for the glass is $9.00\times 10^{-6}\:K^{-1}$. What is the change in the plate’s area if its temperature is increased by $20.0 \:K$?...

## 3.93 Thermal expansion

Problem 3.93:3.93 Thermal expansion A circular iron disc has a circular hole of radius $10\:cm$ at its center. The temperature of the disc is changed from $100^oC$ to $200^oC$. Find the radius of the hole at the new temperature. Coefficient of linear expansion of iron...

## 3.92 Translational kinetic energy of a gas molecule

Problem 3.92: A  closed container encloses $3$ moles of hydrogen at a temperature of $300\:K$. Determine the translational kinetic energy of a molecule. $($ Diagram is only representational $)$ Solution: According to kinetic theory of gases, molecules possess kinetic...

## 3.91Rate of transfer of heat

Problem 3.91: Two metallic plates kept at temperatures of $T$ and $2T$ are connected by two metallic rods of same length $L$ but area of cross sections $A$ and $3A$ as shown in the given diagram. The thermal conductivities of the two rods are $3K$ and $K$...

## 3.90 Isobaric expansion

Problem 3.90: Air enters a hot-air furnace at $7^Oc$ and leaves at $77^Oc$. Throughout the process pressure does not change. It is seen that each entering cubic meter of air expands to $X$ cubic meter. Find the value of $X$. Solution: Clearly this is an isobaric...

## 3.89 Adiabatic expansion of a gas

Problem 3.89:3.89 Adiabatic expansion of a gas$1$ mol of oxygen $($assumed to be an ideal gas$)$ has temperature $310 K$and volume $12 L$. What would be the final temperature if the gas expands adiabatically to volume $19 L$? Oxygen (O2) is diatomic and here has...

## 3.88 Change in internal energy of air

Problem 3.88: A typical room contains about $3000$ moles of air. Find the change in the internal energy of this much air when it is cooled from $35\:^oC$ to $22\:^oC$ at a constant pressure of $1.00 \:atm$. Assume air as an ideal gas with molar specific heat capacity...