Help with 2 questions coast of electricty and pressure

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Discussion Overview

The discussion revolves around two physics problems related to electricity costs for a solar water heater and pressure calculations in a gas container. Participants seek guidance on the appropriate equations and methods to approach these problems, focusing on theoretical and conceptual understanding.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses uncertainty about the equations needed to solve the problems and requests help to get started.
  • Another participant suggests calculating the work done in lifting the water for the first question, while questioning the density of water provided.
  • A clarification is made that the container in the second question is open, which may affect the pressure calculation.
  • A participant calculates the work done to lift the water and provides a cost estimate for electricity, but notes ongoing confusion regarding the second question.
  • In response to the second question, a participant mentions the ideal gas law and provides the equation but expresses uncertainty about the variables involved.

Areas of Agreement / Disagreement

Participants generally agree on the need to calculate work for the first problem and the use of the ideal gas law for the second problem. However, there is no consensus on the specifics of the calculations or the correct interpretation of the variables involved, particularly in the second question.

Contextual Notes

Participants have not fully resolved the assumptions regarding the density of water or the variables in the ideal gas law, which may affect the calculations. There is also a lack of clarity on the conditions under which the second question is posed.

Who May Find This Useful

Students or individuals seeking assistance with physics problems related to work, energy, and gas laws, particularly in the context of homework or conceptual understanding.

ABR124
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Hi

I am stuck on two questions here not sure if this is the right part of the forum to post it in, sorry in advance if it isn't. Ok the questions, my problem is that I'm not sure on the equation to use to solve these problems first problem is

A solar water heater utilizes a pump to lift 400 L of cold water per day through a vertical displacement of 7.0 meters. What is the daily cost of electricity, if the rate is set to be $0.065/kWh? Acceleration due to gravity is 9.81 m/s2 and the density of water is 0.996 g/L.

second problem
Calculate the pressure exerted by the air to the base of the column (area is 1.0 m2). The density of air can be taken a 1.3 kg/m3 and the volume of the container is 100L. Assume ideal gas behaviour and standard conditions (atmospheric pressure and 25 degrees C)

Ok I don't really know where to start with these problems and I'm not looking for the solution to these problems just maybe someone to help me on the right track or maybe to provide me with the equations to do these problems. Thanks in advance.
 
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Electricity is used to do the work of lifting the water. Calculate this work. Note, that water density - as listed - i sworng.

I am not sure if I get 2nd question. Is it a closed container?
 
the container is open for the second question...the first question first find the mass then find Force
 
alright I think I figured out the first problem

w=m x g x deltaz
=(400L/day)(9.81m/s^2)(7m)
= 27468 J/day

(27468/3.6 x 10^6) x 0.065
=$0.00049

the second one I'm still having problems with i think the equation is PV=NrT
so it would be P=nr(25 C)/100L I'm just not sure what N and R are...
 

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