(10%) Problem 4: A 275-kg steel gasoline can holds 21 L of gasoline when full, r

Question

(10%) Problem 4: A 275-kg steel gasoline can holds 21 L of gasoline when full, rhe density of steel is 7.80 x 103 kg/m3, and the density of gasoline is 0.680 × 103 kgm Assignment Status Click here for detailed view What is the average density, in kilograms per cubic meter, of the full gas can, taking into account the volume occupied by steel as well as by gasoline? Grade Summary Potential Submissions 0% 100% Problem Status Completed Completed Completed tan() | | ( acoso cos) cotanasin) Attempts remaining: 5 1 23 erattempt) atan acotan sinho coshtanhcotanh detailed view END Degrees O Radians PACE LEAR

Explanation / Answer

1L = 10^-3 m3

So, 21 L = 21*10^-3 m3

So, mass of gasoline , m = 21*10^-3*0.68*10^3

= 14.28 kg

So, total mass of the full can = 14.28 + 2.75 = 17.03 kg

So, average density of the ful can = 17.03/(21*10^-3) = 810.9 kg/m3 <-------- answer

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