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Show that the coefficient of cubical expansion of an ideal gas at constant pressure is equal to the reciprocal of its absolute temperature.
We know that for an ideal gas at constant pressure, the volume is given by V = nRT where V is the volume, n is the number of moles of the gas, R is the gas constant, and T is the absolute temperature. Now, for a small change in temperature, the change in volume can be written as: dV = βV dT where βRead more
We know that for an ideal gas at constant pressure, the volume is given by
V = nRT
where V is the volume, n is the number of moles of the gas, R is the gas constant, and T is the absolute temperature.
Now, for a small change in temperature, the change in volume can be written as:
dV = βV dT
where β is the coefficient of cubical expansion and dT is the change in temperature.
From the equation of state, V = nRT, we have:
dV = nR dT
Comparing the two expressions for dV, we get:
βV = nR / V
Since V = nRT, we can substitute this into the above equation:
β = 1 / T
Therefore, the coefficient of cubical expansion β for an ideal gas at constant pressure is equal to the reciprocal of its absolute temperature.
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Describe the working principle of a platinum resistance thermometer.
The platinum resistance thermometer works on the principle that the electrical resistance of platinum is a changing function of temperature. The thermometer is a platinum wire whose resistance varies linearly with temperature. The resistance is measured using a Wheatstone bridge or other precise cirRead more
The platinum resistance thermometer works on the principle that the electrical resistance of platinum is a changing function of temperature.
The thermometer is a platinum wire whose resistance varies linearly with temperature. The resistance is measured using a Wheatstone bridge or other precise circuit. By calibrating the resistance at known temperatures, the thermometer can determine an unknown temperature. Platinum is used because of its stability, wide temperature range, and predictable resistance-temperature relationship.
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What is a liquid thermometer ? What are the advantages of using mercury as a thermometric substance over liquids?
A liquid thermometer is a type of thermometer that measures temperature through the expansion and contraction of a liquid in response to temperature changes. In general, the liquid is held within a sealed glass tube with a calibrated scale. Advantages of using mercury 1. It has a very high boiling pRead more
A liquid thermometer is a type of thermometer that measures temperature through the expansion and contraction of a liquid in response to temperature changes. In general, the liquid is held within a sealed glass tube with a calibrated scale.
Advantages of using mercury
1. It has a very high boiling point and a low freezing point; thus, it can measure a wide range of temperatures.
2. It does not wet the glass, hence ensuring accurate readings.
3. Mercury expands uniformly with temperature changes, so it is very accurate.
4. It is visible because of its shiny, metallic appearance.
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What is abdominal or diaphragmatic breathing (Adhama Śvāsa)?
Abdominal or diaphragmatic breathing, known as Adhama Śvāsa, involves the diaphragm's movement. During inhalation, the abdomen bulges outward as the diaphragm moves downward, and during exhalation, the abdomen contracts as the diaphragm returns to normal. The process is slow, deep, rhythmic, and jerRead more
Abdominal or diaphragmatic breathing, known as Adhama Śvāsa, involves the diaphragm’s movement. During inhalation, the abdomen bulges outward as the diaphragm moves downward, and during exhalation, the abdomen contracts as the diaphragm returns to normal. The process is slow, deep, rhythmic, and jerk-free. This practice improves oxygenation, enhances relaxation, and promotes efficient respiratory functioning. It is typically performed for five rounds to ensure optimal benefits.
See lessWhat are the steps for practicing thoracic breathing?
Steps for thoracic breathing: 1. Sit comfortably in Cinmaya Mudra. 2. Inhale deeply, focusing on chest expansion. 3. Exhale completely, contracting the chest. 4. Maintain smooth, continuous airflow through both nostrils, ensuring no jerks during the process. 5. Repeat the practice for five rounds, cRead more
Steps for thoracic breathing:
See less1. Sit comfortably in Cinmaya Mudra.
2. Inhale deeply, focusing on chest expansion.
3. Exhale completely, contracting the chest.
4. Maintain smooth, continuous airflow through both nostrils, ensuring no jerks during the process.
5. Repeat the practice for five rounds, concentrating on deep and rhythmic breathing to improve lung capacity and oxygenation.