URAL 1823. Ideal Gas（数学啊 ）
2024-08-31 14:18:51
题目链接：http://acm.timus.ru/problem.aspx?space=1&num=1823
1823. Ideal Gas
Time limit: 0.5 second
Memory limit: 64 MB
Memory limit: 64 MB
Many of you know the universal method of solving simple physics problems: you have to find in a textbook an identity in which you know the values of all the quantities except for one, substitute the
numbers into this identity, and calculate the unknown quantity.
numbers into this identity, and calculate the unknown quantity.
This problem is even easier. You know right away that the identity needed for its solution is the Clapeyron–Mendeleev equation for the state of an ideal gas. This equation relates the pressure of an
ideal gas p, the amount of substance n, the volume occupied by the gas V, and the temperature T. Given three of these quantities, you have to find the fourth quantity. Note that the temperature of a gas and the volume occupied
by it must always be positive.
ideal gas p, the amount of substance n, the volume occupied by the gas V, and the temperature T. Given three of these quantities, you have to find the fourth quantity. Note that the temperature of a gas and the volume occupied
by it must always be positive.
Input
Each of the three input lines has the form “X = value”, where X is the symbol for a physical quantity and value is a nonnegative integer not exceeding 1000. The three lines specify
the values of three different quantities. Pressure is specified in pascals, amount of substance in moles, volume in cubic meters, and temperature in kelvins. It is guaranteed that the temperature and volume are positive. The universal gas constant R should
be taken equal to 8.314 J / (mol · K).
the values of three different quantities. Pressure is specified in pascals, amount of substance in moles, volume in cubic meters, and temperature in kelvins. It is guaranteed that the temperature and volume are positive. The universal gas constant R should
be taken equal to 8.314 J / (mol · K).
Output
If the input data are inconsistent, output the only line “error”. If the value of X can be determined uniquely, output it in the format “X = value” with an accuracy of 10−3.
If it is impossible to uniquely determine the value of X, output the only line “undefined”.
If it is impossible to uniquely determine the value of X, output the only line “undefined”.
Sample
| input | output |
|---|---|
p = 1 |
T = 0.120279 |
Notes
Recall that Pa = N / m2 and J = N · m.
PS:
p*V = n*R*T；
代码例如以下：
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
const double R = 8.314;
double PP, VV, NN, TT;
void findd(char a, double b)
{
if(a == 'p')
{
PP = b;
}
else if(a == 'V')
{
VV = b;
}
else if(a == 'n')
{
NN = b;
}
else if(a == 'T')
{
TT = b;
}
}
int main()
{ char a;
double b;
while(~scanf("%c = %lf",&a, &b))
{
getchar();
PP = VV = NN = TT = -1;
findd(a,b);
scanf("%c = %lf",&a, &b);
getchar();
findd(a,b);
scanf("%c = %lf",&a, &b);
getchar();
findd(a,b);
if(NN < 0)
{
printf("n = %lf\n",(PP*VV)/(R*TT));
}
else if(PP < 0)
{
printf("p = %lf\n",(NN*R*TT)/(VV));
}
else if(TT < 0 || VV < 0)
{
if(NN==0 && PP==0)
{
printf("undefined\n");
}
else if(NN==0 || PP==0)
{
printf("error\n");
}
else if(TT < 0)
{
printf("T = %lf\n",(PP*VV)/(NN*R));
}
else if(VV < 0)
{
printf("V = %lf\n",(NN*R*TT)/(PP));
}
}
}
return 0;
}
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