250 gm of water and equal volume of alcohol of mass 200 gm are replaced successively in the same

step 1 Hello everyone in this question we'll be understanding some basic concept of the fluid mechanic

250 gm of water and equal volume of alcohol of mass 200 gm...

$250 \mathrm{gm}$ of water and equal volume of alcohol of mass $200 \mathrm{gm}$ are replaced successively in the same calorimeter and cool from $60^{\circ} \mathrm{C}$ to $55^{\circ} \mathrm{C}$ in 130 seconds and 67 seconds respectively. If the water equivalent of the calorimeter is $10 \mathrm{gm}$, then the specific heat of alcohol (in $\mathrm{cal} / \mathrm{gm}-{ }^{\circ} \mathrm{C}$ ) is (a) $1.30$ (b) $0.67$ (c) $0.62$ (d) $0.985$

Key Concepts

Calorimeter Water Equivalent

This concept represents the effective mass of water that would have the same heat capacity as the calorimeter. It allows one to account for the heat absorbed or released by the calorimeter itself during thermal experiments, ensuring more accurate calculations of the heat exchange involving the sample.

Cooling Rate and Heat Capacity

The cooling rate of a substance under similar conditions is directly related to its total heat capacity. When two different substances cool under identical environmental conditions, the difference in the time taken for a given temperature change can be used to compare their effective heat capacities. This relationship forms the basis for determining unknown specific heats by analyzing cooling curves or time intervals.

Conservation of Energy in Calorimetry

In calorimetric experiments, the principle of conservation of energy is applied to equate the heat lost or gained by a substance to the corresponding change in temperature of both the substance and the calorimeter. This balance is crucial for determining unknown quantities, such as the specific heat of a material, by linking heat transfer to measurable temperature changes.

Specific Heat Capacity

This property quantifies the amount of heat energy required to raise the temperature of one unit mass of a substance by one degree Celsius. It is fundamental in understanding how different substances respond to heat and is used to calculate the energy changes involved in heating or cooling a material.

Transcript

Please give Ace some feedback