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Question 22M.2.HL.TZ2.e.i

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Date May 2022 Marks available [Maximum mark: 3] Reference code 22M.2.HL.TZ2.e.i
Level HL Paper 2 Time zone TZ2
Command term Calculate Question number e.i Adapted from N/A
e.i.
[Maximum mark: 3]
22M.2.HL.TZ2.e.i

A fully charged cell of emf 6.0 V delivers a constant current of 5.0 A for a time of 0.25 hour until it is completely discharged.

The cell is then re-charged by a rectangular solar panel of dimensions 0.40 m × 0.15 m at a place where the maximum intensity of sunlight is 380 W m−2.

The overall efficiency of the re-charging process is 18 %.

Calculate the minimum time required to re-charge the cell fully.

[3]

Markscheme

ALTERNATIVE 1

«energy output of the panel =» Vlt OR 6 x 5 x 0.25 x 3600 OR 27000 «J» ✓

«available power =» 380 x 0.4 x 0.15 x 0.18 OR 4.1 «W» ✓

t= «270004.1=» 6600 «s» ✓

 

ALTERNATIVE 2

«energy needed from Sun =» vlteff OR 6×5×0.25×36000.18 OR 150000 «J» ✓

« incident power=» 380 x 0.4 x 0.15 OR 22.8 «W» ✓

t= «15000022.8=» 6600 «s» ✓

 

Allow ECF for MP3

Accept final answer in minutes (110) or hours (1.8).