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Consider a cycle tyre being filled with...

Consider a cycle tyre being filled with air by a pump. Let V be the volume of the tyre (fixed) and at each stroke of the pump `DeltaV(ltltV)` of air is transferred to the tube adiabatically. What is the work done when the pressure in the tube is increased from `p_(1)` to `p_(2)` ?

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To find the work done when the pressure in the tube is increased from \( p_1 \) to \( p_2 \) during the adiabatic filling of a cycle tyre, we can follow these steps: ### Step 1: Understand the Adiabatic Process In an adiabatic process, the relationship between pressure and volume is given by: \[ P V^\gamma = \text{constant} \] where \( \gamma \) is the adiabatic index (ratio of specific heats). ...
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