Saturn's moon Titan is the largest moon in the solar system. Its mostly-nitrogen atmosphere exerts a pressure of 1.60×105 Pa at the moon's surface (a pressure about 60% greater than Patm at the surface of the Earth). Scientists speculate that it may have lakes and seas of "gasoline," a mixture of liquid methane and ethane. Suppose that there is a gasoline lagoon on Titan, 43.7 m deep, and consisting of 63.7% methane and 36.3% ethane, which have densities of 465 kg/m3 and 570 kg/m3 respectively. (a) Assuming that the acceleration due to gravity on Titan is 1.35 m/s2, what is the gauge pressure at the bottom of the lagoon? (b) What is the absolute pressure at the bottom of the lagoon?