A second's pendulum clock has a steel wire. The clock is calibrated at `20^@ C`. How much time does the clock lose or gain in one week when the temperature is increased to `30^@ C` ? `alpha_(steel) = 1.2 xx 10^(-5).^@C^(-1)`.

Explanation

To solve the problem of how much time a second's pendulum clock loses or gains in one week when the temperature increases from 20°C to 30°C, we can follow these steps:

### Step 1: Understand the problem
A second's pendulum clock has a steel wire and is calibrated at 20°C. We need to determine how much time it will lose or gain when the temperature rises to 30°C.

### Step 2: Identify the change in temperature
The change in temperature (ΔT) is:
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