A drilling machine of 10 kW power is used to drill a bore in a small aluminium block of mass 8

step 1 Hello students. In this question, we have a drilling machine of power p equals to 10 kilowatt wh

A drilling machine of 10 kW power is used to drill a bore...

A drilling machine of $10 \mathrm{~kW}$ power is used to drill a bore in a small aluminium block of mass $8 \mathrm{~kg}$. If $50 \%$ of power is used up in heating the machine itself or lost to the surroundings then how much is the rise in temperature of the block in $2.5$ minutes? (Given: specific heat of aluminium $=0.91 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}$ ) (a) $103^{\circ} \mathrm{C}$ (b) $130^{\circ} \mathrm{C}$ (c) $105^{\circ} \mathrm{C}$ (d) $30^{\circ} \mathrm{C}$

A drilling machine of $10 \mathrm{~kW}$ power is used to drill a bore in a small aluminium block of mass $8 \mathrm{~kg}$. If $50 \%$ of power is used up in heating the machine itself or lost to the surroundings then how much is the rise in temperature of the block in $2.5$ minutes? (Given: specific heat of aluminium $=0.91 \mathrm{~J} / \mathrm{g}^{\circ} \mathrm{C}$ )
(a) $103^{\circ} \mathrm{C}$
(b) $130^{\circ} \mathrm{C}$
(c) $105^{\circ} \mathrm{C}$
(d) $30^{\circ} \mathrm{C}$

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Key Concepts

Power and Energy Conversion

Power is the rate at which energy is transferred or converted. In energy problems, knowing the power of a device and the operating time allows calculation of the total energy produced. This concept is crucial for converting the energy output from a source into thermal energy that affects temperature change.

Heat Capacity

Specific heat capacity is the quantity of heat needed to raise the temperature of a unit mass of a material by one degree Celsius. It is a key property in thermal problems since it determines how much a substance's temperature changes when a given amount of energy is absorbed or lost.

Efficiency and Energy Loss

Efficiency in energy conversion processes addresses the fraction of input energy that is effectively used for the intended purpose, with the remainder typically lost as waste heat to the surroundings. Understanding energy losses is important in accurately calculating the net energy available for heating or other work.

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