Evidence from the Mars rover Discovery suggests that oceans as deep as 0.50 km o

Question

Evidence from the Mars rover Discovery suggests that oceans as deep as 0.50 km once may have existed on Mars. The acceleration due to gravity on Mars is 0.379g. (The atmospheric pressure on Mars is 650 Pa.)

(a) If there were any organisms in the Martian ocean in the distant past, what pressure (absolute) would they have experienced at the bottom, assuming the surface pressure was the same as today? Assume that the salinity of Martian oceans was the same as oceans on Earth. (Assume the seawater is at 4° C.)

(b) If the bottom-dwelling organisms in part (a) were brought from Mars to Earth, how deep could they go in our ocean without exceeding the maximum pressure they experienced on Mars?

Explanation / Answer

let,

acceleration due to gravity on the Mars, a=0.379*g

atmospheric pressure, P=650 Pascal

a)

Pressure at Mars,

P=Po+rho_seawater*g*h

P=650+1027*(0.379*9.8)*(0.5*10^3)

P=1907891.7 Pascal -------------->

b)

pressure on the earth,

P=po*rho*g*h

1907891.7=1.01*10^5+1027*9.8*h

===> h=179.53 m

deep of the ocean, h=179.53 m -------------->

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