GATE ES 2024 Paper 1 — page 12

Questions 34–36 of 65. Imported answers require review unless explicitly marked reviewed.

A municipal solid waste digester generates 1000 kg of methane gas. The volume of the tank need to store this gas at 30 °C and 3 atmospheric pressure is ______ liters (an integer value).

Use R=0.082 L-atm/mole-K, Atomic weights of C=12, and H=1

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A Class-A pan was setup adjacent to a lake for measuring evaporation losses in the lake. The depth of water in the pan at the begining of a certain week was 250 mm. In that week, there was a rainfall event with 10 mm depth. Water depth in the pan at the end of the week was 240 mm. The pan coefficient is 0.8.

The estimated lake evaporation during the week was ______ mm (an integer value).

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A population (with mean

) follows normal distribution. Ten samples (N) are drawn at random with a mean value of “x” and standard deviation of “S”. Following table provides the confidence limits, C(t) of the cumulative probability function for Student’s t – distribution two-tailed test with degree of freedom D.

Which one of the following expression is correct for testing the null hypothesis H₀:

at 10% significance level?

D	C(t)=0.9	C(t)=0.95	C(t)=0.975
9	1.38	1.83	2.26
10	1.37	1.81	2.23
11	1.36	1.80	2.20

Your answerChoose one option.

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2024 · Paper 1

Question 34

Question 35

Question 36