JEE Important Shortcuts

JEE Important Shortcuts

### Shortcut 1

For ideal gas:

$$\Delta U\propto\Delta T$$

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### Shortcut 2

For cyclic process:

$$\Delta U=0$$

Therefore:

$$Q=W$$

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### Shortcut 3

Adiabatic curve is steeper than isothermal curve.

$$\gamma>1$$

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### Shortcut 4

Maximum efficiency:

$$\eta_{Carnot}=1-\frac{T_C}{T_H}$$

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### Shortcut 5

For isolated system:

$$Q=0$$

$$W=0$$

Therefore:

$$\Delta U=0$$