A glass tube 1.50 meters long and open at one end is weighted to keep it vertical and is then lowered to the bottom of a lake. When it returns to the surface it is determined that at the bottom of the lake the water rose to within 0.133 meters of the closed end. The lake is 100 meters deep, the air temperature at the surface is 27 "C, atmospheric pressure is 1.01x10s N/m2, and the density of water is 998 kg/m3. a) What is the total pressure at the bottom of the lake

Complete Question

 The complete question is shown on the first uploaded image  

The total pressure is  

The temperature at the bottom is

Explanation:

From the question we are told that

    The length of the glass tube is  

      The length of water  rise at the bottom of the lake  

     The depth of the lake is  

     The air temperature is

      The atmospheric pressure is  

      The density of water is

The total pressure at the bottom of the lake is mathematically represented as

substituting values

According to ideal gas law

         At the surface the glass tube not covered by water at surface

Where is the volume of

 At the bottom of the lake  

Where is the volume of the glass tube not covered by water at bottom

          and   i the temperature at the bottom

  So the ratio between the temperature  at the surface to the temperature at the bottom is mathematically represented as

substituting values

   =>